Two number cubes are rolled. What is the probability that the sum of two numbers on top is $8$ ?

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Solution

Determine the probability that the sum of two numbers on top is $8$ :
Use two standard $6$ -sided dice, then, out of the $36$ possible rolls $(6 \times 6)$
$(2, 6), (6, 2), (3, 5), (5, 3), (4, 4) = 5$ combinations add up to $8$ .
$Probability(P) = \frac{favourableoutcomes}{totaloutcomes}$
$P (sum of 8) = \frac{5}{36}$
Therefore, the probability of the sum being $8$ is $\frac{5}{36}$ .

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